Lottery Ticket Preferences as Indicated by the Variation in the Number of Winners
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Many gamblers believe that it is possible to find a strategy to beat the lottery including selecting numbers that are due to come up or looking for a bias in past numbers. In this paper, we examine sales figures and variations in the number of winners for the various prize levels of a popular Canadian lottery to detect lottery ticket preferences. It was determined that the lottery outcomes conformed well to a random outcome. No evidence of either a bias myth or due to come up myth was found. However ticket popularity indicated a marked preference for the number 7 and low numbers, and the avoidance of high numbers and adjacent numbers. In addition we found a linear and a quadratic relationship between past frequency of the numbers and ticket popularity indicating a belief in both the due to come up and the bias myths. The findings suggest strong non-random preferences in the selection of lottery numbers.
KeywordsErroneous beliefs Lottery Gambling Random chance Gamblers fallacy
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- Bank of Canada. (2009). Exchange rates. Retrieved November 28, 2009 from www.bankofcanada.ca/en/rates/exchange.html.
- Clotfelter, C. T., & Cook, P. J. (1987). Implicit taxation in lottery finance. National Tax Journal, 40, 533–546.Google Scholar
- Cook, P. J., & Clotfelter, C. T. (1993). The peculiar scale economies of lotto. The American Economic Review, 83, 634–643.Google Scholar
- Fifth Estate. (2006, October 25). Luck or larceny. Retrieved March 13, 2009 from www.cbc.ca/fifth/luckofthedraw/index.html.
- Fifth Estate. (2007, November 14). Twice lucky. Retrieved March 13, 2009 from http://www.cbc.ca/fifth/twicelucky/timeline.html.
- gmac78. (2006). Delta number system-share your comments. Retrieved August 31, 2009 from http://www.lotto649.ws/lotto-649/8844-delta-number-system-share-your.html.
- Gould, S. J. (1991). Bully for Brontosaurus: Reflections in natural history (1st ed.). New York: Norton.Google Scholar
- Jones, P. (1994). The basics of winning lotto/lottery. New York: Cardoza Publishing.Google Scholar
- Jørgensen, C. B. (2006). Field evidence on the law of small numbers. Master’s thesis, University of Copenhagen. Retrieved November 11, 2009 from www.econ.ku.dk/sos/Claus%20B%20J%C3%B8rgensen%20-%20Field%20Evidence%20on%20the%20Law%20of%20Small%20Numbers.pdf.
- Ladouceur, R., Dube, D., Giroux, I., Legendre, N., & Gaudet, C. (1995). Cognitive biases in gambling: American roulette and 6/49 lottery. Journal of Social Behavior and Personality, 10, 473–479.Google Scholar
- Ladouceur, R., & Walker, M. (1996). A cognitive perspective on gambling. In P. Salkovskis (Ed.), Trends in cognitive and behavioural therapies (pp. 89–120). London: Wiley.Google Scholar
- Lottery Canada. (2009). Lotto 649. Retrieved March 13, 2009 from www.lotterycanada.com/lottery/?job=show_results&lottery=na_lotto_649.
- McCleary, R., & Hay, E. E. (1980). Applied time series analysis for the social sciences. Beverly Hills: Sage.Google Scholar
- Muse, D. (2007). How to win at lotto presents the Delta lotto system. Retrieved November 3, 2009 from http://www.use4.com/lotto.html.
- Ontario Lottery and Gaming. (2009). History 75–89. Retrieved March 10, 2009 from www.olg.ca/about/who_we_are/history.jsp?contentID=about_history_75-89.
- Reith, G. (1999). The age of chance: Gambling in western culture. London: Routledge.Google Scholar
- Rudski, J. (2004). The illusion of control, superstitious belief, and optimism. Current Psychology: Developmental, Learning, Personality, Social, 22, 306–315.Google Scholar
- The Lottery Vault. (2009). How it works. Retrieved March 18, 2009 from www.lotteryvault.com/howitworks.asp.
- Turner, N. E., & Ferentzy, P. (in press). The natural life history of a lottery: The importance of large wins in the establishment and survival of a lottery. International Gambling Studies.Google Scholar
- Turner, N. E., Fritz, B. & Mackenzie, B. (2003). How to gamble: Information and misinformation in books and other media on gambling. The Electronic Journal of Gambling Issues, 9, 135–171, Retrieved March 25, 2009 from www.camh.net/egambling.
- Vyse, S. A. (1997). Believing in magic. New York, NY: Oxford University Press.Google Scholar
- Wagenaar, W. A. (1988). Paradoxes of gambling behavior. London: Lawrence Erlbaum Associates.Google Scholar
- Yu, K., & Xu, X. (2007, June 1–3). Welfare effect of a price change: The case of Lotto 6/49. Paper presented to the 41st annual meeting of the Canadian Economics Association, Halifax, Nova Scotia. Retrieved November 30, 2009 from http://www.indexmeasures.com/dc2008/papers/Yu-Xu.pdf.